Global Riemannian Geometry Curvature and Topology

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Free Download Global Riemannian Geometry: Curvature and Topology by Steen Markvorsen , Maung Min-Oo
English | PDF (True) | 2003 | 96 Pages | ISBN : 3764321709 | 8.5 MB
This book contains a clear exposition of two contemporary topics in modern differential geometry:

distance geometric analysis on manifolds, in particular, comparison theory for distance functions in spaces which have well defined bounds on their curvature
the application of the Lichnerowicz formula for Dirac operators to the study of Gromov's invariants to measure the K-theoretic size of a Riemannian manifold.
It is intended for both graduate students and researchers.
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